University:
Washington State University
Course:
MATH 172 | Calculus II
Academic year:

2024
Views:

244

Pages:

2
Author:

Bailey Ayala

Question 1 Which scatterplot shows the strongest correlation? Answer: Scatterplot 3 shows the strongest linear correlation because most of the data points align closely to a straight line. This indicates a strong relationship between the variables. Other scatterplots exhibit weaker or no correlation due to greater scatter or randomness in the points. Question 2 Dot plot of the number of snapchats sent per day by Mr. Elkins: Data: 19 , 20 , 22 , 22 , 22 , 22 , 24 , 24 , 27 19,20,22,22,22,22,24,24,27. Mean: Mean = Sum of values Number of values = 270 12 = 22.5 Mean= Number of values Sum of values = 12 270 =22.5 Median: For even 𝑛 n, median is the average of the 6th and 7th values: Median = 22 + 22 2 = 22 Median= 2 22+22 =22 Answer: Mean: 22.5 22.5, Median: 22 22. Question 3 Draw two scatterplots with positive linear associations but different strengths: Answer: Strong positive association: Points form a clear linear pattern with minimal scatter. For example, a straight upward trend with points closely clustered around the line. Weak positive association: Points still show an upward trend, but with greater scatter, indicating a less strong relationship between variables. Question 4 How can you use technology to describe associations in scatterplots? Answer: Use software (e.g., Excel, Python, or graphing calculators) to create scatterplots and analyze data patterns. Technology helps fit lines of best fit, calculate correlation coefficients ( 𝑟 r), and determine whether associations are strong, weak, positive, or negative. Nonlinear trends can also be analyzed using advanced statistical tools. Example: A high 𝑟 r-value (close to 1 or -1) indicates a strong association, while a low 𝑟 r-value indicates a weak association.